[1]陈祉睿,侯成敏*.带有Robin边界条件的分数阶q 差分方程的Lyapunov型不等式[J].延边大学学报(自然科学版),2019,45(01):6-10.
　CHEN Zhirui,HOU Chengmin*.Lyapunov type inequalities for fractional q -differenceequations with Robin boundary conditions[J].Journal of Yanbian University,2019,45(01):6-10.
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带有Robin边界条件的分数阶q 差分方程的Lyapunov型不等式

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第45卷 期数: 2019年01期 页码: 6-10 栏目: 基础科学研究 出版日期: 2019-02-20
Title:
Lyapunov type inequalities for fractional q -difference equations with Robin boundary conditions
文章编号:
1004-4353(2019)01-0006-05
作者:
陈祉睿;  侯成敏*
( 延边大学 理学院, 吉林 延吉 133002 )
Author(s):
CHEN Zhirui;  HOU Chengmin*
( College of Science, Yanbian University, Yanji 133002, China )
关键词:
Robin边界条件;  分数阶q-差分;  Lyapunov型不等式
Keywords:
Robin boundary conditions;  fractional order q -difference;  Lyapunov-type inequality
分类号:
O175.6
文献标志码:
A
摘要:
考虑带有Robin边界条件的分数阶q -差分方程CDαqu(t)+X(t)u(t)=0(0<t<1)所满足的Lyapunov型不等式.首先利用Robin边界条件得到该方程解的表达式,然后通过分析格林函数得到格林函数的估值,进而得到了该方程相应的Lyapunov型不等式.
Abstract:
We consider the Lyapunov type inequalities satisfied by the fractional q -difference equation CDαqu(t)+X(t)u(t)=0(0<t<1)with Robin boundary conditions. The Robin boundary conditions are used to get the expressions of solution for the equation. By analyzing Green's function, we get the estimate of the Green's function. Further the corresponding Lyapunov type inequalities are obtained.

参考文献/References:


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备注/Memo

收稿日期: 2018-10-12
*通信作者: 侯成敏(1963—),女,教授,研究方向为微分理论及其应用.

更新日期/Last Update: 2019-05-20